Linear Algebra

Module code: MA1114

Linear Algebra is an essential prerequisite for nearly all other areas of mathematics, from pure mathematical areas including algebra, geometry and analysis, via probability and statistics, and applied mathematics such as solving differential equations and numerical analysis, to physical topics such as quantum mechanics. Methods of Linear Algebra are used also in, for example, CT scans, cryptography, genetics, models for human hearing, computer graphics and certain economic models.

Google’s success comes largely from its algorithm which ranks the importance of web pages according to an eigenvector of a weighted link matrix, and for this work, one needs to understand how to solve large systems of billions of equations with billions of unknowns efficiently! In this module we will introduce and work on the fundamental concepts of Linear Algebra, from linear systems and their solutions, matrix operations, vector spaces and linear maps to eigenvalues, eigenvectors, and inner products.